Question

Question 1 A)Which situation has a constant rate?(1 point) Responses Miguel invested $10 into an account that pays 5% interest compounded annually each year. Miguel invested $10 into an account that pays 5% interest compounded annually each year. There are 10 bobcats in a local area and the population is increasing at a rate of 5% each year. There are 10 bobcats in a local area and the population is increasing at a rate of 5% each year. The Vega family is going to the zoo on Mother’s Day. It will cost $10 to park and $25 per person. The Vega family is going to the zoo on Mother’s Day. It will cost $10 to park and $25 per person. There are 10 rabbits in a local area and the population is doubling each year. There are 10 rabbits in a local area and the population is doubling each year. Question 2 A)Which equation does NOT represent its situation?(1 point) Responses y=15.80x+200y=15.80x+200 Liam works for a delivery service that pays him $15.80 per hour. He also received a starting bonus of $200. y is equal to 15 point 8 0 x plus 200 Liam works for a delivery service that pays him $15.80 per hour. He also received a starting bonus of $200. y=12x+50y=12x+50 Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service. y is equal to 12 x plus 50 Emma charges $12 per hour for walking dogs. A customer paid her an additional $50 tip upfront for excellent service. y=75x+30y=75x+30 Sophia tutors students at a rate of $30 per hour. She also received a one-time sign-up bonus of $75 from the tutoring platform. y is equal to 75 x plus 30 Sophia tutors students at a rate of $30 per hour. She also received a one-time sign-up bonus of $75 from the tutoring platform. y=22.50x+150y=22.50x+150 James earns $22.50 per hour as a freelance graphic designer. He received an initial setup fee of $150 from his first client. y is equal to 22 point 5 0 x plus 150 James earns $22.50 per hour as a freelance graphic designer. He received an initial setup fee of $150 from his first client. Question 3 A) Write the equation of the line in slope-intercept form. (1 point) Responses y=−15x+600y=−15x+600y is equal to negative 15 x plus 600 y=150x+600y=150x+600y is equal to 150 x plus 600 y=−150x+600y=−150x+600y is equal to negative 150 x plus 600 y=−150x+4y=−150x+4y is equal to negative 150 x plus 4 Question 4 A) The equation of a line in point-slope form is y−2=−5(x+3)y−2=−5(x+3). Write this equation in slope intercept form y=mx+by=mx+b. (1 point) Responses y=−5x+13y=−5x+13y is equal to negative 5 x plus 13 y=−5x−13y=−5x−13y is equal to negative 5 x minus 13 y=−5x+5y=−5x+5y is equal to negative 5 x plus 5 y=5x−13y=5x−13y is equal to 5 x minus 13

Answer 1

**Question 1 A)**
Which situation has a constant rate?
**Response:** The Vega family going to the zoo, which costs $10 to park and $25 per person, is the only situation that has a constant rate ($25 per person) as it does not vary with time or the amount invested/generated.

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**Question 2 A)**
Which equation does NOT represent its situation?
**Response:** **y = 75x + 30** does not represent Sophia's tutoring situation because it incorrectly states the rate per hour ($30) as part of the sign-up bonus ($75). The correct equation would be **y = 30x + 75**.

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**Question 3 A)**
Write the equation of the line in slope-intercept form.
To write an equation in slope-intercept form, we need to identify the slope and y-intercept. The answer depends on the specifics of the provided information. However, if I assume a standard equation, I can provide a general response.
One possible correct response would be: **y = -150x + 600** (if that fits the context).

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**Question 4 A)**
Convert the equation from point-slope form \(y - 2 = -5(x + 3)\) to slope-intercept form \(y = mx + b\).

1. Start with:
\(y - 2 = -5(x + 3)\)
2. Distribute:
\(y - 2 = -5x - 15\)
3. Add 2 to both sides:
\(y = -5x - 15 + 2\)
\(y = -5x - 13\)

**Response:** **y = -5x - 13** is in slope-intercept form.

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I hope this helps! If you have any more questions or need further clarification, feel free to ask!